Question

Simplify: (n + 3)^2

Can someone explain how I simplify this?

Answer 1

\[(n+3)^2=(n+3)(n+3)=n(n+3)+3(n+3).\]
Does that help?

Answer 2

Very little. I thought it would've been either N^2+ 9 or N2+6?

Answer 3

Not really! Let me take if from where I stopped
\[=n^2+3n+3n+9=n^2+6n+9.\]

Answer 4

In a similar manner, you can find a general formula for \((x+y)^2\) as
\[(x+y)^2=x^2+2xy+y^2.\]

Answer 5

in that sense, I think it would then be n2 + 9n + 9? I think... I'm not very good with letters unfortunately. So I could've done that wrong

Answer 6

It would be \(n^2+2(3)n+3^2=n^2+6n+9.\)